A solution decomposition for a singularly perturbed fourth-order problem
classification
🧮 math.AP
math.FA
keywords
problemthird-orderfourth-orderperturbedproblemsreducedsingularlysolution
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We consider a singularly perturbed fourth-order problem with third-order terms on the unit square. With a formal power series approach, we decompose the solution into solutions of reduced (third-order) problems and various layer parts. The existence of unique solutions for the problem itself and for the reduced third-order problems is also addressed.
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